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Finding the Fourth Proportional to 218,052.60, 327,014.10 and 84,856.20

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Solution

The fourth proportional to 218,052.60, 327,014.10 and 84,856.20 is: 127,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,052.60 : 327,014.10 = 84,856.20 : x
  2. Step 2: Convert to fraction form
    218,052.60/327,014.10 = 84,856.20/x
  3. Step 3: Cross multiply
    218,052.60x = 327,014.10 × 84,856.20
  4. Step 4: Simplify right side
    218,052.60x = 27,749,173,872.42
  5. Step 5: Solve for x
    x = 27,749,173,872.42/218,052.60
  6. Step 6: Final answer
    x = 127,259.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.